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arxiv: 1006.2690 · v1 · submitted 2010-06-14 · 🧮 math.PR

Random linear recursions with dependent coefficients

classification 🧮 math.PR
keywords coefficientsequationrandomconsiderdependentdistributioninfinitylinear
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We consider the equation R(n)=Q(n)+M(n) R(n-1), with random non-i.i.d. coefficients (Q(n),M(n)), and show that the distribution tails of the stationary solution to this equation are regularly varying at infinity.

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